A cylindrical bucket has an internal volume of

MATHEMATICS · Single correct · CBSE · Mathematics · Power Play · Power Play

Problem

1.0 \times 10^{-2}\,\text{m}^{3}

. It is filled with dry sand whose grains can be approximated as spheres of diameter

5.0 \times 10^{-4}\,\text{m}

. Because of void spaces, sand grains occupy only

60\%

of the bucket’s volume. The order of magnitude of the number of grains that can fit into the bucket is (a)

10^{7}

(b)

10^{8}

(c)

10^{6}

(d)

10^{9}